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380132096 = 283833877
BaseRepresentation
bin10110101010000…
…101101100000000
3222111021201012112
4112222011230000
51234303211341
6101415314452
712264032561
oct2652055400
9874251175
10380132096
11185635963
12a737ba28
13609a6346
14386b2168
152358baeb
hex16a85b00

380132096 has 36 divisors (see below), whose sum is σ = 760956672. Its totient is φ = 189520896.

The previous prime is 380132089. The next prime is 380132101. The reversal of 380132096 is 690231083.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96110 + ... + 99986.

Almost surely, 2380132096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380478336).

380132096 is an abundant number, since it is smaller than the sum of its proper divisors (380824576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380132096 is an equidigital number, since it uses as much as digits as its factorization.

380132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 380132096 is about 19496.9765861274. The cubic root of 380132096 is about 724.3995637431.

The spelling of 380132096 in words is "three hundred eighty million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 383 766 1532 3064 3877 6128 7754 12256 15508 24512 31016 49024 62032 98048 124064 248128 496256 992512 1484891 2969782 5939564 11879128 23758256 47516512 95033024 190066048 380132096